Observational constraints of a power spectrum from super-inflation in Loop Quantum Cosmology

Abstract

In loop quantum cosmology there may be a super-inflation phase in the very early universe, in which a single scalar field with a negative power-law potential $V=-M^4(\varphi /M{)}^{\beta }$ plays important roles. Since the effective horizon $\sqrt{SD}/H$ controls the behavior of quantum fluctuation instead of the usual Hubble horizon, we assume the following inflation scenario; the super-inflation starts when the quantum state of the scalar field emerges into the classical regime,and ends when the effective horizon becomes the Hubble horizon, and the effective horizon scale never gets shorter than the Planck length. From consistency with the WMAP 5-year data, we place a constraint on the parameters of the potential ($\beta$ and $M$) and the energy density at the end of the super-inflation, depending on the volume correction parameter $n$.

17 pages, 3 figures, Accepted for Physical Review D

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Cited by in corpus (22)

• Loop Quantum Cosmology: A Status Report
• Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
• Introduction to Loop Quantum Cosmology
• Hybrid quantization of an inflationary universe
• Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
• Observational issues in loop quantum cosmology
• Observational test of inflation in loop quantum cosmology
• Hybrid quantization of an inflationary model: The flat case
• Quantum Cosmology: Effective Theory
• Inflationary observables in loop quantum cosmology
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• Primordial scalar power spectrum from the hybrid approach in loop cosmologies
• Fully Loop-Quantum-Cosmology-corrected propagation of gravitational waves during slow-roll inflation
• Observational effects from quantum cosmology
• Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations
• Numerical Techniques in Loop Quantum Cosmology
• The high-density regime of kinetic-dominated loop quantum cosmology
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology
• The cosmological perturbation theory in loop cosmology with holonomy corrections
• Dynamics of k-essence in loop quantum cosmology
• Loop Quantum Cosmology corrections on gravity waves produced during primordial inflation
• A note on testing pre-inflationary times with gravitational-waves